Prime p₀= 2560942190152116299 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 76 2 88 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 180 182 258 260 270 272
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 272
Found by: [SG-FC] hl
db: batch=82, k=12, 2 10 2 76 2 88

SPT(16)	2560940834264586143	0 44 66 86 128 138 146 164 240 258 266 276 318 338 360 404	-1355887530156
SPT(16)	2560940871429958991	0 42 86 110 120 156 158 162 176 180 182 218 228 252 296 338	-1318722157308
SPT(16)	2560941504280088977	0 10 36 64 66 106 112 120 136 144 150 190 192 220 246 256	-685872027322
TPT(14)	2560941690146675609	0 2 12 14 42 44 102 104 132 134 180 182 438 440	-500005440690
SPT(16)	2560941768766590577	0 36 60 82 114 130 142 156 280 294 306 322 354 376 400 436	-421385525722
SPT(16)	2560942179251011397	0 36 72 80 86 90 150 156 176 182 242 246 252 260 296 332	-10901104902
STPT(10)	2560942593083415449	0 2 18 20 30 32 42 44 60 62	402931299150
SPT(16)	2560942637505651781	0 16 28 46 162 210 228 298 390 460 478 526 642 660 672 688	447353535482
SPT(16)	2560942964811531023	0 8 20 36 78 86 104 114 140 150 168 176 218 234 246 254	774659414724
SPT(16)	2560943021437566287	0 26 30 32 62 114 120 146 210 236 242 294 324 326 330 356	831285449988
SPT(16)	2560943060631270193	0 28 46 60 84 88 124 196 198 270 306 310 334 348 366 394	870479153894